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Competitive Stats
Q8Section I (Objective (Q1–Q80))8 of 80

Distribution Theory — unconditional mean from a location-scale joint pdf

Consider the following for the next three (03) items that follow: Let joint pdf of two random variables X and Y be f(x,y)=12πye−12y(x−12y)2f(x, y) = \frac{1}{\sqrt{2\pi y}} e^{-\frac{1}{2y}(x-12y)^{2}}; −∞<x<∞,0<y<1-\infty < x < \infty, 0 < y < 1. What is the value of E(X)?

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